I have two forumotion forums and I would like to share the same domain name. For example, I want one site to be alpha.domainname.com and the other beta.domainname.com The domain name is registered through forumotion or I could easily make the change myself in a basic DNS editor - but I don't believe I have access to any DNS with the domain since it was originally purchased and renewed by Forumotion.

Is that possible, can I edit any of the DNS for a domain owned by forumotion?

I am talking about a real domain name, not the forumname.forumotion.net.

With the domain name it is absolutely possible to have two sites, forums, whatever with the same domain using sub domains as I pointed out in my original post.

Boys.txsoccer.net can be directed to one forum and girls.txsoccer.net can go to another. It is a simple cname entry in the dns settings. Can someone their assist me with it or give me access to the domain you control?

Yes, very clear. Unfortunately my domain was purchased through forumotion so I cannot make any changes like you mentioned. I was hoping since both my forums were forumotion forums that I could get the cname changed so my one forumotion domain can point to my two forumotion forums.